What is the Least Common Multiple of 22600 and 22618?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 22600 and 22618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22600 and 22618, than apply into the LCM equation.

GCF(22600,22618) = 2
LCM(22600,22618) = ( 22600 × 22618) / 2
LCM(22600,22618) = 511166800 / 2
LCM(22600,22618) = 255583400

Least Common Multiple (LCM) of 22600 and 22618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22600 and 22618. First we will calculate the prime factors of 22600 and 22618.

Prime Factorization of 22600

Prime Factorization of 22618

Now multiplying the highest exponent prime factors to calculate the LCM of 22600 and 22618.

LCM(22600,22618) = 2³ × 5² × 113¹ × 43¹ × 263¹
LCM(22600,22618) = 255583400